Transverse conformal Killing forms and a Gallot-Meyer Theorem for foliations

Details Transverse conformal Killing forms and a Gallot-Meyer Theorem for foliations Transverse conformal Killing forms and a Gallot-Meyer Theorem for foliations

2008-05-27

arxiv.org/abs/0805.4187v1

Mathematics

Differential Geometry

20 pages

Scientific paper

We study transverse conformal Killing forms on foliations and prove a
Gallot-Meyer theorem for foliations. Moreover, we show that on a foliation with
$C$-positive normal curvature, if there is a closed basic 1-form $\phi$ such
that $\Delta_B\phi=qC\phi$, then the foliation is transversally isometric to
the quotient of a $q$-sphere.

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